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A Hierarchy of Multidimensional Hénon-Heiles Systems

✍ Scribed by Yunbo Zeng


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2000
Tongue
English
Weight
134 KB
Volume
16
Category
Article
ISSN
1439-7617

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📜 SIMILAR VOLUMES


Non-autonomous Hénon-Heiles systems
✍ Andrew N.W. Hone 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 836 KB

Scaling similarity solutions of three integrable PDEs, namely the Sawada-Kotera, fifth order KdV and Kaup--Kupershmidt equations, are considered. It is shown that the resulting ODEs may be written as non-autonomous Hamiltonian equations, which are time-dependent generalizations of the well-known int

Integrability of the Hénon-Heiles system
✍ R.G. Smirnov 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 211 KB

An integrable case of the Hdnon-Heiles system is isolated by deriving a suitable bi-Hamiltonian structure leading to its complete integrability in the sense of Arnol'd-Liouville.